Using reproducing kernel for solving a class of partial differential equation with variable-coefficients  

作　　者：王玉兰 朝鲁 

机构地区：[1]Department of Mathematics,Inner Mongolia University of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第1期129-137,共9页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.10461005)

摘　　要：How to solve the partial differential equation has been attached importance to by all kinds of fields. The exact solution to a class of partial differential equation with variable-coefficient is obtained in reproducing kernel space. For getting the approximate solution, give an iterative method, convergence of the iterative method is proved. The numerical example shows that our method is effective and good practicability.How to solve the partial differential equation has been attached importance to by all kinds of fields. The exact solution to a class of partial differential equation with variable-coefficient is obtained in reproducing kernel space. For getting the approximate solution, give an iterative method, convergence of the iterative method is proved. The numerical example shows that our method is effective and good practicability.

关 键 词：iterative method exact solution approximate solution variable-coefficient partial differential equation reproducing kernel 

分 类 号：O175.2[理学—数学]